Quasistatic evolution of damage in an elastic-viscoplastic material
Texas State University-San Marcos, Department of Mathematics
The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage.
Existence and uniqueness, Damage, Comparison theorems, Elastic viscoplastic materials
Kuttler, K. (2005). Quasistatic evolution of damage in an elastic-viscoplastic material. <i>Electronic Journal of Differential Equations, 2005</i>(147), pp. 1-25.
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